For simplicity and concreteness, we focus in this paper on false-vacuum eternal inflation, though our analysis carries over straightforwardly to stochastic (slow-roll) eternal inflation. Our starting point is the master equation governing the probabilities to occupy different vacua [1]}, [2]}. This equation describes the Markov process along a given world-line for transitions between transient de Sitter (dS) vacua and into terminal Anti-de Sitter (AdS) or Minkowski vacua. The occupational probabilities are normalized at all times and are time-reparametrization invariant.
